document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1134100>Question 1134100</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A team of four members consisting of eight mathematicians and seven chemists will be selected. Calculate the number of different ways to form a team member if all members are mathematicians? if the number of mathematicians and chemists are equal? if the team contains at least two mathematicians? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #751455 by </B><A HREF=/tutors/aboutme.mpl?userid=Boreal><B>Boreal(15235)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Boreal><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/cgi-bin/show-face.mpl?user=Boreal><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=751455\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 15 total<BR>\n" );
document.write( "for four mathematicians only<BR>\n" );
document.write( "8/15*7/14*6/13*5/12=0.0513\r<BR>\n" );
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document.write( "equal would be 2 of each<BR>\n" );
document.write( "total number of ways to choose any four is 15C4=1365<BR>\n" );
document.write( "for the numerator 8C2*7C2=28*21=588<BR>\n" );
document.write( "the probability is 588/1365=0.4307<BR>\n" );
document.write( "At least two mathematicians <BR>\n" );
document.write( "for 3 would be 8C3*7C1=56*7=392, and that probability is 0.2872<BR>\n" );
document.write( "for 4, 0.0513<BR>\n" );
document.write( "So at least two would be the sum of three terms or 0.7692 </SPAN>\n" );
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